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Finding the Third Proportional to 415,296 and 625,728

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Solution

The third proportional to 415,296 and 625,728 is: 942,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,296 : 625,728 = 625,728 : x
  2. Step 2: Convert to fraction form
    415,296/625,728 = 625,728/x
  3. Step 3: Cross multiply
    415,296x = 625,728 × 625,728
  4. Step 4: Simplify right side
    415,296x = 391,535,529,984
  5. Step 5: Solve for x
    x = 391,535,529,984/415,296
  6. Step 6: Final answer
    x = 942,786.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.